The standard deviation of the data set is:
2
We are given a set of data points as:
x= 7 9 10 11 13
Now on firstly finding the mean of these data points we have:
[tex]Mean(x')=\dfrac{7+9+10+11+13}{5}\\\\\\Mean(x')=\dfrac{50}{5}=10[/tex]
Now,
x x-x' (x-x')²
7 7-10=-3 9
9 9-10=-1 1
10 10-10=0 0
11 11-10=1 1
13 13-10=3 9
∑(x-x')²=20
Now, mean of ∑(x-x')² gives us the variance of the data.
Variance=∑(x-x')²/5=20/5=4
Now, we know that standard deviation is the square root of variance.
Hence,
Standard deviation=√4=2
